Accelerated verification of digital signatures and public keys
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United States of America Patent
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Jun 19, 2012
Grant Date -
Mar 22, 2007
app pub date -
Jan 18, 2006
filing date -
Jan 18, 2005
priority date (Note) -
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status (Latency Note)
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Abstract
Accelerated computation of combinations of group operations in a finite field is provided by arranging for at least one of the operands to have a relatively small bit length. In a elliptic curve group, verification that a value representative of a point R corresponds the sum of two other points uG and vG is obtained by deriving integers w,z of reduced bit length and so that v=w/z. The verification equality R=uG+vQ may then be computed as −zR+(uz mod n) G+wQ=O with z and w of reduced bit length. This is beneficial in digital signature verification where increased verification can be attained.
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